Failed to connect to MySQL: Access denied for user 'examnext_online'@'localhost' (using password: YES) If ƒ(x) is continuous and `int_0^9 f(x)dx=4` then value of the integral `int_0^3x xx f(x^2)dx` is - Sarthaks eConnect
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If ƒ(x) is continuous and `int_0^9 f(x)dx=4` then value of the integral `int_0^3x xx f(x^2)dx` is

A.

2

B.

18

C.

16

D.

4

Solution

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Best answer

Let I=`int_0^3x xx f(x^2)dx ; put x^2=t and 2x xx dx =dt`

Now I =`1/2 int_0^9f(t)dt=1/2xx4=2`